134867414805196800
134,867,414,805,196,800 is an even composite number composed of six prime numbers multiplied together.
134867414805196800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred six divisors.
Prime factorization of 134867414805196800:
212 × 3 × 52 × 192 × 432 × 8112
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 19 × 19 × 43 × 43 × 811 × 811)See below for interesting mathematical facts about the number 134867414805196800 from the Numbermatics database.
Names of 134867414805196800
- Cardinal: 134867414805196800 can be written as One hundred thirty-four quadrillion, eight hundred sixty-seven trillion, four hundred fourteen billion, eight hundred five million, one hundred ninety-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.348674148051968 × 1017
Factors of 134867414805196800
Divisors of 134867414805196800
- Number of divisors d(n): 2106
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 43 48 50 57 60 64 75 76 80 86 95 96 100 114 120 128 129 150 152 160 172 190 192 200 215 228 240 256 258 285 300 304 320 344 361 380 384 400 430 456 475 480 512 516 570 600 608 640 645 688 722 760 768 800 811 817 860 912 950 960 1024 1032 1075 1083 1140 1200 1216 1280 1290 1376 1425 1444 1520 1536 1600 1622 1634 1720 1805 1824 1849 1900 1920 2048 2064 2150 2166 2280 2400 2432 2433 2451 2560 2580 2752 2850 2888 3040 3072 3200 3225 3244 3268 3440 3610 3648 3698 3800 3840 4055 4085 4096 4128 4300 4332 4560 4800 4864 4866 4902 5120 5160 5415 5504 5547 5700 5776 6080 6144 6400 6450 6488 6536 6880 7220 7296 7396 7600 7680 8110 8170 8256 8600 8664 9025 9120 9245 9600 9728 9732 9804 10240 10320 10830 11008 11094 11400 11552 12160 12165 12255 12288 12800 12900 12976 13072 13760 14440 14592 14792 15200 15360 15409 15523 16220 16340 16512 17200 17328 18050 18240 18490 19200 19456 19464 19608 20275 20425 20480 20640 21660 22016 22188 22800 23104 24320 24330 24510 25600 25800 25952 26144 27075 27520 27735 28880 29184 29584 30400 30720 30818 31046 32440 32680 33024 34400 34656 34873 35131 36100 36480 36980 38400 38912 38928 39216 40550 40850 41280 43320 44032 44376 45600 46208 46225 46227 46569 48640 48660 49020 51200 51600 51904 52288 54150 55040 55470 57760 58368 59168 60800 60825 61275 61440 61636 62092 64880 65360 66048 68800 69312 69746 70262 72200 72960 73960 76800 77045 77615 77824 77856 78432 81100 81700 82560 86640 88064 88752 91200 92416 92450 92454 93138 97280 97320 98040 102400 103200 103808 104576 104619 105393 108300 110080 110940 115520 116736 118336 121600 121650 122550 123272 124184 129760 130720 132096 137600 138624 138675 139492 140524 144400 145920 147920 153600 154090 155230 155712 156864 162200 163400 165120 173280 174365 175655 176128 177504 182400 184832 184900 184908 186276 194560 194640 196080 206400 207616 209152 209238 210786 216600 220160 221880 231040 231135 232845 233472 236672 243200 243300 245100 246544 248368 259520 261440 264192 275200 277248 277350 278984 281048 288800 291840 292771 295840 307200 308180 310460 311424 313728 324400 326800 330240 346560 348730 351310 355008 364800 369664 369800 369816 372552 385225 388075 389120 389280 392160 412800 415232 418304 418476 421572 433200 440320 443760 462080 462270 465690 473344 486400 486600 490200 493088 496736 519040 522880 523095 526965 528384 550400 554496 554700 557968 562096 577600 583680 585542 591680 616360 620920 622848 627456 648800 653600 657721 660480 662587 667489 693120 697460 702620 710016 729600 739328 739600 739632 745104 770450 776150 778560 784320 825600 830464 836608 836952 843144 866400 871825 878275 878313 880640 887520 924160 924540 931380 946688 972800 973200 980400 986176 993472 1038080 1045760 1046190 1053930 1100800 1108992 1109400 1115936 1124192 1155200 1155675 1164225 1167360 1171084 1183360 1232720 1241840 1245696 1254912 1297600 1307200 1315442 1320960 1325174 1334978 1386240 1394920 1405240 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6534273973120 6585322988535 6603055804416 6651907018752 6878183129600 6929069811200 6931918935300 7024344521104 7294073272320 7394046864320 7471878936576 7783207225600 7841128767744 8167842466400 8253819755520 8314883773440 8688231321600 8752509235200 8780430651380 8872856237184 9117591590400 9242558580400 9339848670720 9801410959680 10317274694400 10393604716800 10454838356992 10536516781656 10975538314225 11005093007360 11086511697920 11091070296480 11674810838400 11830474982912 12156788787200 12251763699600 12453131560960 13068547946240 13170645977070 13756366259200 13858139622400 13863837870600 14048689042208 14588146544640 14788093728640 14943757873152 15566414451200 15682257535488 16335684932800 16507639511040 16629767546880 17560861302760 17745712474368 18235183180800 18485117160800 18679697341440 19602821919360 20634549388800 20787209433600 20909676713984 21073033563312 21951076628450 22182140592960 23349621676800 23660949965824 24313577574400 24503527399200 24906263121920 26137095892480 26341291954140 27512732518400 27716279244800 27727675741200 28097378084416 29576187457280 31132828902400 31364515070976 32671369865600 32926614942675 33015279022080 33259535093760 35121722605520 35491424948736 36470366361600 36970234321600 37359394682880 39205643838720 41269098777600 41574418867200 41819353427968 42146067126624 43902153256900 44364281185920 46699243353600 47321899931648 49007054798400 52274191784960 52682583908280 55025465036800 55432558489600 55455351482400 56194756168832 59152374914560 62265657804800 62729030141952 65342739731200 65853229885350 70243445211040 70982849897472 72940732723200 73940468643200 74718789365760 78411287677440 82538197555200 83148837734400 84292134253248 87804306513800 88728562371840 93398486707200 94643799863296 98014109596800 104548383569920 105365167816560 110910702964800 112389512337664 118304749829120 124531315609600 125458060283904 130685479462400 131706459770700 140486890422080 141965699794944 147880937286400 156822575354880 165076395110400 166297675468800 168584268506496 175608613027600 177457124743680 186796973414400 196028219193600 209096767139840 210730335633120 221821405929600 224779024675328 236609499658240 261370958924800 263412919541400 280973780844160 283931399589888 295761874572800 313645150709760 337168537012992 351217226055200 354914249487360 373593946828800 392056438387200 421460671266240 443642811859200 449558049350656 473218999316480 522741917849600 526825839082800 561947561688320 591523749145600 627290301419520 674337074025984 702434452110400 709828498974720 784112876774400 842921342532480 887285623718400 899116098701312 1045483835699200 1053651678165600 1123895123376640 1183047498291200 1348674148051968 1404868904220800 1419656997949440 1568225753548800 1685842685064960 1774571247436800 1798232197402624 2107303356331200 2247790246753280 2366094996582400 2697348296103936 2809737808441600 3136451507097600 3371685370129920 3549142494873600 4214606712662400 4495580493506560 5394696592207872 5619475616883200 6743370740259840 7098284989747200 8429213425324800 8991160987013120 11238951233766400 13486741480519680 16858426850649600 22477902467532800 26973482961039360 33716853701299200 44955804935065600 67433707402598400 134867414805196800
- Sum of all divisors σ(n): 482404936876968276
- Sum of proper divisors (its aliquot sum) s(n): 347537522071771476
- 134867414805196800 is an abundant number, because the sum of its proper divisors (347537522071771476) is greater than itself. Its abundance is 212670107266574676
Bases of 134867414805196800
- Binary: 1110111110010010100110010111111110011110100110000000000002
- Hexadecimal: 0x1DF2532FF3D3000
- Base-36: 10VYIB15JYTC
Squares and roots of 134867414805196800
- 134867414805196800 squared (1348674148051968002) is 18189219576237017002492286730240000
- 134867414805196800 cubed (1348674148051968003) is 2453133021571163731483568398206365699231711232000000
-
The
square root of 134867414805196800 is 367242991.4990847037 -
The
cube root of 134867414805196800 is 512824.7901102531
Scales and comparisons
How big is 134867414805196800?- 134,867,414,805,196,800 seconds is equal to 4,288,366,618 years, 26 weeks, 5 hours, 20 minutes.
-
To count from 1 to 134,867,414,805,196,800 would take you about twelve billion, eight hundred sixty-five million, ninety-nine thousand, eight hundred fifty-five years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 134867414805196800 cubic inches would be around 42735.4 feet tall.
Recreational maths with 134867414805196800
- 134867414805196800 backwards is 008691508414768431
- 134867414805196800 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 134867414805196800's digits is 75
- More coming soon!
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"Number 134867414805196800 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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Numbermatics. (2024). Number 134867414805196800 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/134867414805196800/
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The information we have on file for 134867414805196800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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